An alcoholic bounty hunter is hired by a business mogul to rescue his rebellious daughter, who?s missing in a zombie-ravaged city.

I like Richiev's suggestion because it adds a ticking clock, which increases urgency, hence dramatic tension to the story.

"When he's hired to rescue the rebellious daughter of a powerful mogul, an alcoholic bounty hunter has three days to extract her from zombie ridden New York before the city is firebombed."